A planet with mass 8.07x1023 kg orbits a star with mass 1.18x1030 kg. The orbit is circular, and the distance from the planet to the sun is 121x106 km. What is the length of a year on this planet? Give your answer in earth years (1 earth year = 31,557,600 seconds).

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The mean distance of an object A from the Sun is 19.6 x 10^9 km and the mean distance of object B from the Sun is 57.9 × 10^8 km. The period of Earth's revolutions is 1 year, what is the period of object B's revolution?

To complete this exercise, you need to know that the circumference of a circle is proportional to its radius, and that the constant of proportionality is 2π. You do not need to know either the radius of the Moon’s orbit or the radius of Earth. For purposes of this exercise, we assume that the Moon’s orbit around Earth is circular. In one trip around Earth, the Moon travels approximately 2.4 million kilometers. Another satellite orbits Earth (in a circular orbit) at a distance from Earth that is 1/4 that of the Moon. How far does this satellite travel in one trip around Earth? (Use decimal notation. Give your answer to one decimal place.) A rope is tied around the equator of Earth. A second rope circles Earth and is suspended 77 feet above the equator. How much longer is the second rope than the first?

Assume the data collected were as follows: (where the force in Newtons is computed by converting the mass to kilograms and then multiplying by the gravitational acceleration 9.8 m/s²) m (grams) Force (Newtons) x (cm) (measured) (computed) (measured) 1000 9.8 1 2000 19.6 1.5 3000 29.4 2.1 4000 39.2 2.4 5000 49 3 Make a plot of force vs. stretch distance x. This means force should be on the vertical axis. Since Fgravity = -Fspring (they are in opposite directions) and Fspring = -kx, then: Fgravity = kx This means the slope of your graph is the spring constant k. Fill in your value for k (measured in Newtons/cm)

A sun rays take about 8 minutes to reach the Earth surface travelling at constant speed v= 3,0 * 10^8 m/s. How far is earth from the sun?

The flight from Cairo K = (30◦ N, 30◦ E) to Shanghai S = (30◦ N, 120◦ E) follows the shortest possible route, i.e. the surface of the Earth in the plane determined by the points O = origin = center of the Earth, K and S.a) Calculate the length of the route when the value 6,371 km is used for the radius of the Earth.b) How far north (latitude) does the airplane go during the trip?

Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0 ✕ 104 light years from its center. (a) What should the orbital period (in y) of that star be?  y (b) If its period is 6.9 ✕ 107 y instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies.  solar masses

Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0 ✕ 104 light years from its center. What should the orbital period (in y) of that star be?

An object is orbiting at a distance of 1.0 x 107 m from the center of a planet. The gravitational force between the object and the planet is 10.0 N. What would the gravitational force be if the object were orbiting at a distance of 5.0 x 106 m?